A 10 mg effervescent tablet containing sodium bicarbonate and oxalic acid release 0.25 ml of `CO_2` at T=298.15 K and p=1 bar. If molar volume of `CO_2` is 25.0L under such condition, the number of mole of sodium bicarbonate in each tablet is `10^(-x)` . What is numerical value of x. [Molar mass of `NaHCO_3 =84 g mol^(-1)` ]

Options

A. 33.6
B. 8.4
C. 0.84
D. 16.8

Answer

B

Explanation

`HCO_(3)^(-) + H^(-) rarr H_(2)O + CO_(2) , n_(O_(2)) = (0.25)/(25 xx 10^(3)) = 10^(-5) mol = n_(NaHCO_(3))`
% of `NaHCO_(3)` in each tablet `= (84 xx 10^(-5) xx 10^(3))/(10) xx 100 = 8.4`